This note
is concerned with the application of quantum mechanics to many-electron systems
like atoms and molecules. Stationary as well as time-dependent states have been
covered, emphasizing in particular electronic and vibrational states. The
following topics have been dealt with: the necessity of quantum mechanics,
properties of the wavefunction, kinetic energy, tunneling, and the variation
principle. It includes applications of symmetry and group theory in quantum
mechanics and incorporates them with the Schrödinger equation. It also includes
time-dependent quantum chemistry-including propagation of density matrices and
time evolution of probability distributions. The target of the note is aimed at
those who seek to understand the complexities of many-body systems in quantum
chemistry.
This note
presents advanced methods in quantum chemistry. Large systems are of particular
interest and serve to focus on Hartree-Fock theory and Density Functional Theory
with a notable selection of practical techniques for integral evaluation and
matrix construction. The Coulomb and exchange matrices are constructed, density
matrices purify, and large data sets necessary for quantum chemistry
calculations are stored and manipulated. The book gives insight into the
problems of large quantum chemistry calculations and presents the computational
techniques developed to overcome these problems, making it a most valuable aid
to researchers concerned with large molecular systems or with computational
chemistry.
This introductory note
provides a sound basis in quantum chemical theory. It is structured by a brief
overview of basic concepts, followed by close scrutiny of the GAMESS
computational chemistry package and its applications. The note provides a
starting point for the theory behind calculations performed in quantum chemical
chemistry; it can be suitable for those new to computational chemistry or for
students looking to get a foot in the door as regards practical tools for
molecular simulation.